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- W2418692582 abstract "Many years ago B.S. Pitskel observed that the metric entropy of the shift transformation in the sample space of a stationary random process $X={X_n,,nin mathbb Z}$ with a countable number of states is equal to the conditional entropy $H(X_0|X_{-1},X_{-2},dots)$ if $X$ is a stationary Markov chain (in which case the above conditional entropy is $H(X_0|X_{-1}))$, whether the entropy $H(X_0)$ is finite or not, while in general the statement is not true. In this note we present a class of processes for which Pitskel's observation holds, despite the fact that no of these processes is a Markov chain of some order." @default.
- W2418692582 created "2016-06-24" @default.
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- W2418692582 date "2016-06-02" @default.
- W2418692582 modified "2023-09-27" @default.
- W2418692582 title "On generators with infinite entropy" @default.
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